Abstract #300377

This is the preliminary program for the 2003 Joint Statistical Meetings in San Francisco, California. Currently included in this program is the "technical" program, schedule of invited, topic contributed, regular contributed and poster sessions; Continuing Education courses (August 2-5, 2003); and Committee and Business Meetings. This on-line program will be updated frequently to reflect the most current revisions.

To View the Program:
You may choose to view all activities of the program or just parts of it at any one time. All activities are arranged by date and time.

The views expressed here are those of the individual authors
and not necessarily those of the ASA or its board, officers, or staff.

Back to main JSM 2003 Program page
JSM 2003 Abstract #300377
Activity Number: 378
Type: Contributed
Date/Time: Wednesday, August 6, 2003 : 12:00 PM to 1:50 PM
Sponsor: Section on Nonparametric Statistics
Abstract - #300377
Title: An Improvement to the Aligned Rank Statistic for Two-factor Analysis of Variance
Author(s): Mark E. Payton*+ and Scott J. Richter
Companies: Oklahoma State University and University of North Carolina, Greensboro
Address: 301 Math Sciences, Stillwater, OK, 74078-1056,
Keywords: aligned rank ; nonparametric ; ANOVA
Abstract:

We modify the nonparametric method of Brunner, et al. (1997) by applying their method to the aligned ranks of the data. We compare this new approach to three other rank tests: the F-test applied to the ranks of the data, the approximate F-test of Brunner applied to the ranks of the data, and the F-test applied to the aligned ranks of the data. We also compare the new test to parametric F-test and to the approximate F-test using the modified Box-type adjustment of Brunner. Simulation studies show that the proposed test alleviates the problem of inflated Type I error rates shown by both the test based on simple ranks and the rank test of Brunner. In addition, we show that using the Box-type adjustment alleviates the problem of Type I error rate inflation seen previously for the aligned rank test, without a noticeable loss of power, as long as sample sizes are moderate (n>7).

  • The address information is for the authors that have a + after their name.
  • Authors who are presenting talks have a * after their name.

Back to the full JSM 2003 program

JSM 2003 For information, contact meetings@amstat.org or phone (703) 684-1221. If you have questions about the Continuing Education program, please contact the Education Department.
Revised March 2003